5D hypercubical honeycomb (δ5),
(alt.: small terated penteractic pentacomb)
- more general:
- xPo3o...o3o4o xPo3o...o3oPxQ*a
- general polytopal classes:
- hypercubical honeycomb
links
| Acronym | penth (alt.: stenoh) |
| Name |
penteractic pentacomb, 5D hypercubical honeycomb (δ5), (alt.: small terated penteractic pentacomb) |
| Dual | (selfdual) |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x4o3o3o3o4o (N → ∞) . . . . . . | N ♦ 10 | 40 | 80 | 80 | 32 ------------+----+----+-----+-----+----+--- x . . . . . | 2 | 5N ♦ 8 | 24 | 32 | 16 ------------+----+----+-----+-----+----+--- x4o . . . . | 4 | 4 | 10N ♦ 6 | 12 | 8 ------------+----+----+-----+-----+----+--- x4o3o . . . ♦ 8 | 12 | 6 | 10N | 4 | 4 ------------+----+----+-----+-----+----+--- x4o3o3o . . ♦ 16 | 32 | 24 | 8 | 5N | 2 ------------+----+----+-----+-----+----+--- x4o3o3o3o . ♦ 32 | 80 | 80 | 40 | 10 | N
o3o3o *b3o3o4x (N → ∞) . . . . . . | 2N ♦ 10 | 40 | 80 | 80 | 16 16 ---------------+----+-----+-----+-----+-----+------ . . . . . x | 2 | 10N ♦ 8 | 24 | 32 | 8 8 ---------------+----+-----+-----+-----+-----+------ . . . . o4x | 4 | 4 | 20N ♦ 6 | 12 | 4 4 ---------------+----+-----+-----+-----+-----+------ . . . o3o4x ♦ 8 | 12 | 6 | 20N | 4 | 2 2 ---------------+----+-----+-----+-----+-----+------ . o . *b3o3o4x ♦ 16 | 32 | 24 | 8 | 10N | 1 1 ---------------+----+-----+-----+-----+-----+------ o3o . *b3o3o4x ♦ 32 | 80 | 80 | 40 | 10 | N * . o3o *b3o3o4x ♦ 32 | 80 | 80 | 40 | 10 | * N
x4o3o3o3o4x (N → ∞) . . . . . . | 32N ♦ 5 5 | 10 20 10 | 10 30 30 10 | 5 20 30 20 5 | 1 5 10 10 5 1 ------------+-----+---------+--------------+-------------------+---------------------+------------------ x . . . . . | 2 | 80N * ♦ 4 4 0 | 6 12 6 0 | 4 12 12 4 0 | 1 4 6 4 1 0 . . . . . x | 2 | * 80N ♦ 0 4 4 | 0 6 12 6 | 0 4 12 12 4 | 0 1 4 6 4 1 ------------+-----+---------+--------------+-------------------+---------------------+------------------ x4o . . . . | 4 | 4 0 | 80N * * ♦ 3 3 0 0 | 3 6 3 0 0 | 1 3 3 1 0 0 x . . . . x | 4 | 2 2 | * 160N * ♦ 0 3 3 0 | 0 3 6 3 0 | 0 1 3 3 1 0 . . . . o4x | 4 | 0 4 | * * 80N ♦ 0 0 3 3 | 0 0 3 6 3 | 0 0 1 3 3 1 ------------+-----+---------+--------------+-------------------+---------------------+------------------ x4o3o . . . ♦ 8 | 12 0 | 6 0 0 | 40N * * * | 2 2 0 0 0 | 1 2 1 0 0 0 x4o . . . x ♦ 8 | 8 4 | 2 4 0 | * 120N * * | 0 2 2 0 0 | 0 1 2 1 0 0 x . . . o4x ♦ 8 | 4 8 | 0 4 2 | * * 120N * | 0 0 2 2 0 | 0 0 1 2 1 0 . . . o3o4x ♦ 8 | 0 12 | 0 0 6 | * * * 40N | 0 0 0 2 2 | 0 0 0 1 2 1 ------------+-----+---------+--------------+-------------------+---------------------+------------------ x4o3o3o . . ♦ 16 | 32 0 | 24 0 0 | 8 0 0 0 | 10N * * * * | 1 1 0 0 0 0 x4o3o . . x ♦ 16 | 24 8 | 12 12 0 | 2 6 0 0 | * 40N * * * | 0 1 1 0 0 0 x4o . . o4x ♦ 16 | 16 16 | 4 16 4 | 0 4 4 0 | * * 60N * * | 0 0 1 1 0 0 x . . o3o4x ♦ 16 | 8 24 | 0 12 12 | 0 0 6 2 | * * * 40N * | 0 0 0 1 1 0 . . o3o3o4x ♦ 16 | 0 32 | 0 0 24 | 0 0 0 8 | * * * * 10N | 0 0 0 0 1 1 ------------+-----+---------+--------------+-------------------+---------------------+------------------ x4o3o3o3o . ♦ 32 | 80 0 | 80 0 0 | 40 0 0 0 | 10 0 0 0 0 | N * * * * * x4o3o3o . x ♦ 32 | 64 16 | 48 32 0 | 16 24 0 0 | 2 8 0 0 0 | * 5N * * * * x4o3o . o4x ♦ 32 | 48 32 | 24 48 8 | 4 24 12 0 | 0 4 6 0 0 | * * 10N * * * x4o . o3o4x ♦ 32 | 32 48 | 8 48 24 | 0 12 24 4 | 0 0 6 4 0 | * * * 10N * * x . o3o3o4x ♦ 32 | 16 64 | 0 32 48 | 0 0 24 16 | 0 0 0 8 2 | * * * * 5N * . o3o3o3o4x ♦ 32 | 0 80 | 0 0 80 | 0 0 0 40 | 0 0 0 0 10 | * * * * * N
or . . . . . . | 16N ♦ 10 | 20 20 | 20 60 | 10 40 30 | 2 10 20 ---------------+-----+-----+---------+----------+-------------+--------- x . . . . . & | 2 | 80N ♦ 4 4 | 6 18 | 4 16 12 | 1 5 10 ---------------+-----+-----+---------+----------+-------------+--------- x4o . . . . & | 4 | 4 | 80N * ♦ 3 3 | 3 6 3 | 1 3 4 x . . . . x | 4 | 4 | * 80N ♦ 0 6 | 0 6 6 | 0 2 6 ---------------+-----+-----+---------+----------+-------------+--------- x4o3o . . . & ♦ 8 | 12 | 6 0 | 40N * | 2 2 0 | 1 2 1 x4o . . . x & ♦ 8 | 12 | 2 4 | * 120N | 0 2 2 | 0 1 3 ---------------+-----+-----+---------+----------+-------------+--------- x4o3o3o . . & ♦ 16 | 32 | 24 0 | 8 0 | 10N * * | 1 1 0 x4o3o . . x & ♦ 16 | 32 | 12 12 | 2 6 | * 40N * | 0 1 1 x4o . . o4x ♦ 16 | 32 | 8 16 | 0 8 | * * 30N | 0 0 2 ---------------+-----+-----+---------+----------+-------------+--------- x4o3o3o3o . & ♦ 32 | 80 | 80 0 | 40 0 | 10 0 0 | N * * x4o3o3o . x & ♦ 32 | 80 | 48 32 | 16 24 | 2 8 0 | * 5N * x4o3o . o4x & ♦ 32 | 80 | 32 48 | 4 36 | 0 4 6 | * * 10N
x∞o x4o3o3o4o ...
x∞x x4o3o3o4o ...
x∞o x4o3o3o4x ...
x∞x x4o3o3o4x ...
x∞o o3o3o *d3o4x ...
x∞x o3o3o *d3o4x ...
x4o4o x4o3o4o ...
o4x4o x4o3o4o ...
x4o4x x4o3o4o ...
x4o4o x4o3o4x ...
o4x4o x4o3o4x ...
x4o4x x4o3o4x ...
x4o4o o3o3o *e4x ...
o4x4o o3o3o *e4x ...
x4o4x o3o3o *e4x ...
x∞o x∞o x4o3o4o ...
x∞x x∞o x4o3o4o ...
x∞x x∞x x4o3o4o ...
x∞o x∞o x4o3o4x ...
x∞x x∞o x4o3o4x ...
x∞x x∞x x4o3o4x ...
x∞o x4o4o x4o4o ...
x∞x x4o4o x4o4o ...
x∞o o4x4o x4o4o ...
x∞x o4x4o x4o4o ...
x∞o o4x4o o4x4o ...
x∞x o4x4o o4x4o ...
x∞o x4o4x x4o4o ...
x∞x x4o4x x4o4o ...
x∞o x4o4x o4x4o ...
x∞x x4o4x o4x4o ...
x∞o x4o4x x4o4x ...
x∞x x4o4x x4o4x ...
x∞o x∞o x∞o x4o4o ...
x∞x x∞o x∞o x4o4o ...
x∞x x∞x x∞o x4o4o ...
x∞x x∞x x∞x x4o4o ...
x∞o x∞o x∞o o4x4o ...
x∞x x∞o x∞o o4x4o ...
x∞x x∞x x∞o o4x4o ...
x∞x x∞x x∞x o4x4o ...
x∞o x∞o x∞o x4o4x ...
x∞x x∞o x∞o x4o4x ...
x∞x x∞x x∞o x4o4x ...
x∞x x∞x x∞x x4o4x ...
x∞o x∞o x∞o x∞o x∞o ...
x∞x x∞o x∞o x∞o x∞o ...
x∞x x∞x x∞o x∞o x∞o ...
x∞x x∞x x∞x x∞o x∞o ...
x∞x x∞x x∞x x∞x x∞o ...
x∞x x∞x x∞x x∞x x∞x ...
:qoooo:3:oqooo:3:ooqoo:3:oooqo:3:ooooq:3*a&##x (N → ∞) → all heights = 1/sqrt(5) = 0.447214 o.... 3 o.... 3 o.... 3 o.... 3 o.... 3*a | N * * * * ♦ 5 0 0 0 5 | 10 20 10 0 0 | 10 30 30 10 0 | 5 5 20 30 20 | 5 2 5 10 10 .o... 3 .o... 3 .o... 3 .o... 3 .o... 3*a | * N * * * ♦ 5 5 0 0 0 | 20 10 0 10 0 | 30 30 10 0 10 | 20 5 5 20 30 | 10 5 2 5 10 ..o.. 3 ..o.. 3 ..o.. 3 ..o.. 3 ..o.. 3*a | * * N * * ♦ 0 5 5 0 0 | 10 0 0 20 10 | 30 10 0 10 30 | 30 20 5 5 20 | 10 10 5 2 5 ...o. 3 ...o. 3 ...o. 3 ...o. 3 ...o. 3*a | * * * N * ♦ 0 0 5 5 0 | 0 0 10 10 20 | 10 0 10 30 30 | 20 30 20 5 5 | 5 10 10 5 2 ....o 3 ....o 3 ....o 3 ....o 3 ....o 3*a | * * * * N ♦ 0 0 0 5 5 | 0 10 20 0 10 | 0 10 30 30 10 | 5 20 30 20 5 | 2 5 10 10 5 -----------------------------------------------+----------------+----------------+---------------------+---------------------+----------------+--------------- oo... 3 oo... 3 oo... 3 oo... 3 oo... 3*a&#x | 1 1 0 0 0 | 5N * * * * ♦ 4 4 0 0 0 | 6 12 6 0 0 | 4 0 4 12 12 | 4 1 1 4 6 .oo.. 3 .oo.. 3 .oo.. 3 .oo.. 3 .oo.. 3*a&#x | 0 1 1 0 0 | * 5N * * * ♦ 4 0 0 4 0 | 12 6 0 0 6 | 12 4 0 4 12 | 6 4 1 1 4 ..oo. 3 ..oo. 3 ..oo. 3 ..oo. 3 ..oo. 3*a&#x | 0 0 1 1 0 | * * 5N * * ♦ 0 0 0 4 4 | 6 0 0 6 12 | 12 12 4 0 4 | 4 6 4 1 1 ...oo 3 ...oo 3 ...oo 3 ...oo 3 ...oo 3*a&#x | 0 0 0 1 1 | * * * 5N * ♦ 0 0 4 0 4 | 0 0 6 12 6 | 4 12 12 4 0 | 1 4 6 4 1 :o...o:3:o...o:3:o...o:3:o...o:3:o...o:3*a&#x | 1 0 0 0 1 | * * * * 5N ♦ 0 4 4 0 0 | 0 6 12 6 0 | 0 4 12 12 4 | 1 1 4 6 4 -----------------------------------------------+----------------+----------------+---------------------+---------------------+----------------+--------------- ..... oqo.. ..... ..... ..... &#xt | 1 2 1 0 0 | 2 2 0 0 0 | 10N * * * * ♦ 3 3 0 0 0 | 3 0 0 3 6 | 3 1 0 1 3 :qo..o: ..... ..... ..... ..... &#xt | 2 1 0 0 1 | 2 0 0 0 2 | * 10N * * * ♦ 0 3 3 0 0 | 0 0 3 6 3 | 1 0 1 3 3 ..... ..... ..... ..... :o..oq: &#xt | 1 0 0 1 2 | 0 0 0 2 2 | * * 10N * * ♦ 0 0 3 3 0 | 0 3 6 3 0 | 0 1 3 3 1 ..... ..... .oqo. ..... ..... &#xt | 0 1 2 1 0 | 0 2 2 0 0 | * * * 10N * ♦ 3 0 0 0 3 | 6 3 0 0 3 | 3 3 1 0 1 ..... ..... ..... ..oqo ..... &#xt | 0 0 1 2 1 | 0 0 2 2 0 | * * * * 10N ♦ 0 0 0 3 3 | 3 6 3 0 0 | 1 3 3 1 0 -----------------------------------------------+----------------+----------------+---------------------+---------------------+----------------+--------------- ..... oqoo. 3 ooqo. ..... ..... &#xt ♦ 1 3 3 1 0 | 3 6 3 0 0 | 3 0 0 3 0 | 10N * * * * | 2 0 0 0 2 | 2 1 0 0 1 :qoo.o:3:oqo.o: ..... ..... ..... &#xt ♦ 3 3 1 0 1 | 6 3 0 0 3 | 3 3 0 0 0 | * 10N * * * | 0 0 0 2 2 | 1 0 0 1 2 :qo.oo: ..... ..... ..... :oo.oq:3*a&#xt ♦ 3 1 0 1 3 | 3 0 0 3 6 | 0 3 3 0 0 | * * 10N * * | 0 0 2 2 0 | 0 0 1 2 1 ..... ..... ..... :o.oqo:3:o.ooq: &#xt ♦ 1 0 1 3 3 | 0 0 3 6 3 | 0 0 3 0 3 | * * * 10N * | 0 2 2 0 0 | 0 1 2 1 0 ..... ..... .oqoo 3 .ooqo ..... &#xt ♦ 0 1 3 3 1 | 0 3 6 3 0 | 0 0 0 3 3 | * * * * 10N | 2 2 0 0 0 | 1 2 1 0 0 -----------------------------------------------+----------------+----------------+---------------------+---------------------+----------------+--------------- ..... oqooo 3 ooqoo 3 oooqo ..... &#xt ♦ 1 4 6 4 1 | 4 12 12 4 0 | 6 0 0 12 6 | 4 0 0 0 4 | 5N * * * * | 1 1 0 0 0 ..... ..... :ooqoo:3:oooqo:3:ooooq:3*a&#xt ♦ 1 1 4 6 4 | 0 4 12 12 4 | 0 0 6 6 12 | 0 0 0 4 4 | * 5N * * * | 0 1 1 0 0 :qoooo: ..... ..... :oooqo:3:ooooq:3*a&#xt ♦ 4 1 1 4 6 | 4 0 4 12 12 | 0 6 12 0 6 | 0 0 4 4 0 | * * 5N * * | 0 0 1 1 0 :qoooo:3:oqooo: ..... ..... :ooooq:3*a&#xt ♦ 6 4 1 1 4 | 12 4 0 4 12 | 6 12 6 0 0 | 0 4 4 0 0 | * * * 5N * | 0 0 0 1 1 :qoooo:3:oqooo:3:ooqoo: ..... ..... &#xt ♦ 4 6 4 1 1 | 12 12 4 0 4 | 12 6 0 6 0 | 4 4 0 0 0 | * * * * 5N | 1 0 0 0 1 -----------------------------------------------+----------------+----------------+---------------------+---------------------+----------------+--------------- :qoooo:3:oqooo:3:ooqoo:3:oooqo: ..... &#xt ♦ 5 10 10 5 2 | 20 30 20 5 5 | 30 10 0 30 10 | 20 10 0 0 10 | 5 0 0 0 5 | N * * * * ..... :oqooo:3:ooqoo:3:oooqo:3:ooooq:3*a&#xt ♦ 2 5 10 10 5 | 5 20 30 20 5 | 10 0 10 30 30 | 10 0 0 10 20 | 5 5 0 0 0 | * N * * * :qoooo: ..... :ooqoo:3:oooqo:3:ooooq:3*a&#xt ♦ 5 2 5 10 10 | 5 5 20 30 20 | 0 10 30 10 30 | 0 0 10 20 10 | 0 5 5 0 0 | * * N * * :qoooo:3:oqooo: ..... :oooqo:3:ooooq:3*a&#xt ♦ 10 5 2 5 10 | 20 5 5 20 30 | 10 30 30 0 10 | 0 10 20 10 0 | 0 0 5 5 0 | * * * N * :qoooo:3:oqooo:3:ooqoo: ..... :ooooq:3*a&#xt ♦ 10 10 5 2 5 | 30 20 5 5 20 | 30 30 10 10 0 | 10 20 10 0 0 | 0 0 0 5 5 | * * * * N
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